Question

Im given a XY line, the midpoint is (3.-5) and the Y end is (0,2) how do I find the X ending of the line

Answer 1

Using the midpoint formula, the coordinates of the endpoint X, are calculated as: X(6, -12).

How to Apply the Midpoint Formula?

The midpoint formula is expressed as: M(x, y) = [(x_1 + x_2)/2, (y_1 + y_2)/2].

We are given the following:

Line XY has a midpoint with the coordinates: (3, -5)

It has one endpoint: Y(0, 2)

To find the coordinates of the other endpoint, X, let:

X(?, ?) = (x_1, y_1)

Y(0, 2) = (x_2, y_2)

M (x, y) = (3, -5)

Plug in the values into the midpoint formula

M(3, -5) = [(x_1 + 0)/2, (y_1 + 2)/2]

Isolate and solve each variable

3 = (x_1 + 0)/2

6 = x_1

x_1 = 6

-5 = (y_1 + 2)/2

-10 = y_1 + 2

-10 - 2 = y_1

y_1 = -12

Therefore, the coordinates of the endpoint X, are: X(6, -12).

Learn more about the midpoint formula on:

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